A Conversation for Paradox

Banach-Tarski

Post 1

toybox

What about the Banach-Tarski paradox:

In the usual (mathematical) 3-D space, you can divide a ball of radius 1 into a finite number of parts and rearrange them in such a way that you can reconstruct two balls of radius 1.

(Funnily enough I think it doesn't work with discs in the plane.)

smiley - geek


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Banach-Tarski

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